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Applying generalized tortoise coordinates with undetermined parameters to a dynamical Vaidya black hole, we find the interesting condition for reducing the wave function into its standard form without divergence. It is shown that the Damour-Ruffini method with tortoise coordinate can be applied only to the event horizon rather than the apparent horizon in a dynamical space time.
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Keywords:
- dynamical black hole /
- tortoise coordinates /
- Hawking radiation /
- apparent horizon
[1] Damour T, Ruffini R 1976 Phys. Rev. D 14 332
[2] Sannan S 1988 Gen. Rel. Grav. 20 239
[3] Zhao Z, Dai X X 1991 Chin. Phys. Lett. 8 548 (in Chinese) [赵峥, 戴宪新 1991 中国物理快报 8 548]
[4] Dai X X, Zhao Z 1992 Acta Phys. Sin. 41 869 (in Chinese) [戴宪新, 赵峥 1992 41 869]
[5] Li Z H, Zhao Z 1997 Acta Phys. Sin. 46 1273 (in Chinese) [黎忠恒, 赵峥 1997 46 1273]
[6] Qiang L E, Gao X Q, Zhao Z 2004 Acta Phys. Sin. 53 3619 (in Chinese) [强丽娥, 高新芹, 赵峥 2004 53 3619]
[7] Zhang J Y, Zhao Z 2003 Acta Phys. Sin. 52 2096 (in Chinese) [张靖仪, 赵峥 2003 52 2096]
[8] Balbinot R 1986 Phys. Rev. D 33 1611
[9] Ren J, Zhang J Y, Zhao Z 2006 Chin. Phys. Lett. 23 2019
[10] Elias C V, Das S 2006 J. High Energy Phys. 25 0610
[11] Fodor G, Nakamura K, Oshiro Y, Tomimatsu A 1996 Phys. Rev. D 54 3882
[12] Hajicek P 1987 Phys. Rev. D 36 1065
[13] Hiscock W A 1989 Phys. Rev. D 40 1336
[14] Collins W 1992 Phys. Rev. D 45 495
[15] Liu X M, Liu W B 2010 Int. J. Theor. Phys. 49 1088
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[1] Damour T, Ruffini R 1976 Phys. Rev. D 14 332
[2] Sannan S 1988 Gen. Rel. Grav. 20 239
[3] Zhao Z, Dai X X 1991 Chin. Phys. Lett. 8 548 (in Chinese) [赵峥, 戴宪新 1991 中国物理快报 8 548]
[4] Dai X X, Zhao Z 1992 Acta Phys. Sin. 41 869 (in Chinese) [戴宪新, 赵峥 1992 41 869]
[5] Li Z H, Zhao Z 1997 Acta Phys. Sin. 46 1273 (in Chinese) [黎忠恒, 赵峥 1997 46 1273]
[6] Qiang L E, Gao X Q, Zhao Z 2004 Acta Phys. Sin. 53 3619 (in Chinese) [强丽娥, 高新芹, 赵峥 2004 53 3619]
[7] Zhang J Y, Zhao Z 2003 Acta Phys. Sin. 52 2096 (in Chinese) [张靖仪, 赵峥 2003 52 2096]
[8] Balbinot R 1986 Phys. Rev. D 33 1611
[9] Ren J, Zhang J Y, Zhao Z 2006 Chin. Phys. Lett. 23 2019
[10] Elias C V, Das S 2006 J. High Energy Phys. 25 0610
[11] Fodor G, Nakamura K, Oshiro Y, Tomimatsu A 1996 Phys. Rev. D 54 3882
[12] Hajicek P 1987 Phys. Rev. D 36 1065
[13] Hiscock W A 1989 Phys. Rev. D 40 1336
[14] Collins W 1992 Phys. Rev. D 45 495
[15] Liu X M, Liu W B 2010 Int. J. Theor. Phys. 49 1088
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